The average mpg usage for a 2009 Toyota Prius for a sample of 10 tanks of...

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The average mpg usage for a 2009 Toyota Prius for a sample of 10tanks of gas was 45.5 with a standard deviation of 1.8. For a 2009Honda Insight, the average mpg usage for a sample of 10 tanks ofgas was 42.0 with a standard deviation of 2.3.

Assuming equal variances, at ? = .01, is the truemean mpg lower for the Honda Insight?

  

(a-1)Choose the appropriate hypotheses.
a.H0: ?toy?hon ? 0 vs. H1:?toy?hon > 0. RejectH0 if tcalc > 2.552
b.H0: ?toy?hon ? 0 vs. H1:?toy?hon > 0. RejectH0 if tcalc < 2.552
c.H0: ?toy?hon ? 0 vs. H1:?toy?hon < 0. RejectH0 if tcalc <–2.552
d.

H0: ?toy?hon ? 0 vs. H1:?toy?hon < 0. RejectH0 if tcalc > –2.552

(a-2)Calculate the tcalc. (Round youranswer to 4 decimal places.)

  

  tcalc
(a-3)Based on the t-value determined, choose the correctdecision.
Fail to reject the null hypothesis
Reject the null hypothesis
(a-4)Is the true mean mpg lower for the Honda Insight?
Yes
No
(b)Calculate the p-value using Excel. (Round youranswer to 4 decimal places.)
  p-value   

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